Bielliptic modular curves X0+(N)
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.09.006
Abstract: Abstract In this work, we determine all modular curves X 0 + ( N ) that are bielliptic, and then find all numbers N for which the curves X 0 + ( N ) admit… read more here.
Keywords: curves bielliptic; modular curves; bielliptic modular;
Dynamical modular curves for quadratic polynomial maps
Sign Up to like & getrecommendations! Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7474
Abstract: Motivated by the dynamical uniform boundedness conjecture of Morton and Silverman, specifically in the case of quadratic polynomials, we give a formal construction of a certain class of dynamical analogues of classical modular curves. The… read more here.
Keywords: polynomial maps; curves quadratic; preperiodic points; dynamical modular ... See more keywords
Weierstrass points on bielliptic intermediate modular curves
Sign Up to like & getrecommendations! Published in 2021 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2021.51.439
Abstract: We find all Weierstrass points on some of the bielliptic intermediate modular curves XΔ(N) whose bielliptic involutions are of Atkin–Lehner type. read more here.
Keywords: weierstrass points; points bielliptic; bielliptic intermediate; intermediate modular ... See more keywords